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High Energy Physics - Phenomenology

Title:Nonlinear Gluon Evolution in the Color Glass Condensate: II

Abstract: We complete the construction of the renormalization group equation (RGE) for
the Color Glass Condenstate begun in Paper I. This is the equation which
governs the evolution with rapidity of the statistical weight function for the
color glass field. The coefficients in this equation --- one-loop real and
virtual contributions --- are computed explicitly, to all orders in the color
glass field. The resulting RGE can be interpreted as the imaginary-time
evolution equation, with rapidity as the ``imaginary time'', for a quantum
field theory in two spatial dimensions. In the weak field limit it reduces to
the BFKL equation. In the general non-linear case, it is equivalent to an
equation by Weigert which summarizes in functional form the evolution equations
for Wilson line operators previously derived by Balitsky and Kovchegov.